Pith Number

pith:WJVDFGAJ

pith:2021:WJVDFGAJQHNOLDIOE6TGNJJITO

not attested not anchored not stored refs pending

The Challenge to MOND from ultra faint dwarf galaxies

Abraham Loeb, Mohammadtaher Safarzadeh

arxiv:2104.13961 v2 · 2021-04-28 · astro-ph.GA · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJVDFGAJQHNOLDIOE6TGNJJITO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Vortex-reconnection energy bounds in Bose-Einstein-condensed and superfluid dark matter halos

The Atacama Cosmology Telescope: A Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect

Receipt and verification

First computed	2026-07-05T02:53:43.090289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26a32980981dae58d0e27a666a5289b9b36f24b5770f76c8236c654eec37359

Aliases

arxiv: 2104.13961 · arxiv_version: 2104.13961v2 · doi: 10.48550/arxiv.2104.13961 · pith_short_12: WJVDFGAJQHNO · pith_short_16: WJVDFGAJQHNOLDIO · pith_short_8: WJVDFGAJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WJVDFGAJQHNOLDIOE6TGNJJITO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b26a32980981dae58d0e27a666a5289b9b36f24b5770f76c8236c654eec37359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374627e9ec0796d8437d627204e94783037fd81cc33bdd3ca7526b3219beb530",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-04-28T18:39:43Z",
    "title_canon_sha256": "f1aa6cbeb403b95173d673dc2c182e0fa39dfd3011797c21296b10e9559fd71d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.13961",
    "kind": "arxiv",
    "version": 2
  }
}